Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space-Reference-Cited by-同舟云学术

Bertrand Curves of AW(k)-Type in the Equiform Geometry of the Galilean Space

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Kızıltuğ Sezai¹²,Yaylı Yusuf¹²

Affiliation:

1. Department of Mathematics, Faculty of Arts and Sciences, Erzincan University, 24000 Erzincan, Turkey

2. Department of Mathematics, Faculty of Sciences, Ankara University, 06000 Ankara, Turkey

Abstract

We consider curves of AW(k)-type (1≤k≤3) in the equiform geometry of the Galilean spaceG3. We give curvature conditions of curves of AW(k)-type. Furthermore, we investigate Bertrand curves in the equiform geometry ofG3. We have shown that Bertrand curve in the equiform geometry ofG3is a circular helix. Besides, considering AW(k)-type curves, we show that there are Bertrand curves of weak AW(2)-type and AW(3)-type. But, there are no such Bertrand curves of weak AW(3)-type and AW(2)-type.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2014/402360.pdf

Reference11 articles.

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